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Finding the Fourth Proportional to 409,000.13, 564,274.06 and 236,824.10

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Solution

The fourth proportional to 409,000.13, 564,274.06 and 236,824.10 is: 326,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,000.13 : 564,274.06 = 236,824.10 : x
  2. Step 2: Convert to fraction form
    409,000.13/564,274.06 = 236,824.10/x
  3. Step 3: Cross multiply
    409,000.13x = 564,274.06 × 236,824.10
  4. Step 4: Simplify right side
    409,000.13x = 133,633,696,412.85
  5. Step 5: Solve for x
    x = 133,633,696,412.85/409,000.13
  6. Step 6: Final answer
    x = 326,732.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.